Path of the Annular Solar Eclipse of 2031 May 21

Fred Espenak

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 2031 May 21 . The geographic coordinates (WGS 84) of the northern and southern limits and the central line are listed at 60-second intervals. This provides adequate detail for making plots of the path on larger scale maps. Local circumstances on the central line include the ratio of the apparent diameters of the Moon to the Sun, the Sun's altitude and azimuth (degrees), the path width (kilometers) and the duration on the central line (minutes and seconds).

The global visibility of the eclipse is shown on an Orthographic Map . The features of this map are described in the Key to Solar Eclipse Path Tables. The path of the eclipse is displayed in greater detail on a Google Map .


Annular Solar Eclipse of 2031 May 21

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 Limits  15 57.0S 015 03.5E  17 40.8S 015 44.0E  16 48.9S 015 23.8E  0.945   0   -  205  03m48.7s

 05:21   14 00.0S 020 10.5E  15 44.8S 020 40.3E  14 51.0S 020 28.8E  0.946   5  67  199  03m52.8s
 05:22   12 38.6S 023 30.6E  14 16.9S 024 10.8E  13 27.0S 023 52.4E  0.947   9  67  195  03m55.9s
 05:23   11 41.2S 025 45.8E  13 16.6S 026 29.0E  12 28.4S 026 08.6E  0.948  12  66  192  03m58.2s
 05:24   10 54.2S 027 33.4E  12 27.7S 028 17.9E  11 40.5S 027 56.6E  0.948  14  66  190  04m00.2s
 05:25   10 13.4S 029 04.7E  11 45.4S 029 49.9E  10 59.0S 029 28.1E  0.949  16  65  189  04m01.9s
 05:26   09 36.8S 030 24.9E  11 07.6S 031 10.4E  10 21.9S 030 48.3E  0.949  18  65  187  04m03.6s
 05:27   09 03.3S 031 36.9E  10 33.2S 032 22.6E  09 48.0S 032 00.3E  0.949  19  65  185  04m05.1s
 05:28   08 32.4S 032 42.6E  10 01.4S 033 28.3E  09 16.6S 033 06.0E  0.950  20  64  184  04m06.5s
 05:29   08 03.4S 033 43.2E  09 31.7S 034 28.9E  08 47.2S 034 06.5E  0.950  22  64  183  04m07.9s
 05:30   07 36.1S 034 39.6E  09 03.7S 035 25.2E  08 19.6S 035 02.9E  0.950  23  64  182  04m09.3s

 05:31   07 10.2S 035 32.4E  08 37.1S 036 18.0E  07 53.4S 035 55.6E  0.951  24  64  181  04m10.6s
 05:32   06 45.6S 036 22.3E  08 11.9S 037 07.7E  07 28.5S 036 45.4E  0.951  25  63  180  04m11.8s
 05:33   06 22.0S 037 09.5E  07 47.8S 037 54.8E  07 04.7S 037 32.5E  0.951  27  63  179  04m13.0s
 05:34   05 59.4S 037 54.4E  07 24.6S 038 39.6E  06 41.8S 038 17.3E  0.951  28  63  178  04m14.3s
 05:35   05 37.6S 038 37.3E  07 02.3S 039 22.3E  06 19.8S 039 00.1E  0.952  29  63  177  04m15.4s
 05:36   05 16.6S 039 18.4E  06 40.9S 040 03.1E  05 58.6S 039 41.1E  0.952  30  63  176  04m16.6s
 05:37   04 56.4S 039 57.8E  06 20.2S 040 42.3E  05 38.2S 040 20.4E  0.952  31  63  175  04m17.7s
 05:38   04 36.8S 040 35.7E  06 00.2S 041 20.0E  05 18.3S 040 58.2E  0.952  31  62  174  04m18.9s
 05:39   04 17.7S 041 12.3E  05 40.8S 041 56.4E  04 59.1S 041 34.6E  0.953  32  62  173  04m20.0s
 05:40   03 59.2S 041 47.7E  05 22.0S 042 31.5E  04 40.5S 042 09.8E  0.953  33  62  173  04m21.1s

 05:41   03 41.3S 042 21.9E  05 03.7S 043 05.5E  04 22.4S 042 43.9E  0.953  34  62  172  04m22.1s
 05:42   03 23.8S 042 55.0E  04 45.9S 043 38.4E  04 04.7S 043 16.9E  0.953  35  62  171  04m23.2s
 05:43   03 06.8S 043 27.2E  04 28.6S 044 10.3E  03 47.6S 043 49.0E  0.953  36  62  171  04m24.3s
 05:44   02 50.1S 043 58.5E  04 11.7S 044 41.4E  03 30.8S 044 20.1E  0.953  37  62  170  04m25.3s
 05:45   02 33.9S 044 28.9E  03 55.3S 045 11.5E  03 14.5S 044 50.4E  0.954  37  61  169  04m26.3s
 05:46   02 18.1S 044 58.5E  03 39.2S 045 40.9E  02 58.5S 045 19.9E  0.954  38  61  169  04m27.4s
 05:47   02 02.6S 045 27.5E  03 23.4S 046 09.6E  02 42.9S 045 48.7E  0.954  39  61  168  04m28.4s
 05:48   01 47.4S 045 55.7E  03 08.1S 046 37.6E  02 27.7S 046 16.8E  0.954  40  61  168  04m29.4s
 05:49   01 32.6S 046 23.3E  02 53.0S 047 04.9E  02 12.7S 046 44.3E  0.954  40  61  167  04m30.4s
 05:50   01 18.1S 046 50.2E  02 38.3S 047 31.7E  01 58.1S 047 11.1E  0.954  41  61  167  04m31.4s

 05:51   01 03.9S 047 16.6E  02 23.9S 047 57.8E  01 43.8S 047 37.4E  0.955  42  61  166  04m32.3s
 05:52   00 49.9S 047 42.5E  02 09.8S 048 23.4E  01 29.8S 048 03.1E  0.955  43  61  166  04m33.3s
 05:53   00 36.3S 048 07.8E  01 55.9S 048 48.5E  01 16.0S 048 28.3E  0.955  43  60  165  04m34.3s
 05:54   00 22.8S 048 32.7E  01 42.4S 049 13.1E  01 02.5S 048 53.0E  0.955  44  60  165  04m35.2s
 05:55   00 09.7S 048 57.1E  01 29.0S 049 37.3E  00 49.3S 049 17.3E  0.955  45  60  164  04m36.2s
 05:56   00 03.3N 049 21.0E  01 16.0S 050 01.0E  00 36.3S 049 41.1E  0.955  45  60  164  04m37.1s
 05:57   00 15.9N 049 44.6E  01 03.1S 050 24.2E  00 23.5S 050 04.5E  0.955  46  60  163  04m38.1s
 05:58   00 28.4N 050 07.7E  00 50.5S 050 47.1E  00 11.0S 050 27.6E  0.955  47  60  163  04m39.0s
 05:59   00 40.7N 050 30.5E  00 38.2S 051 09.6E  00 01.3N 050 50.2E  0.955  47  60  162  04m39.9s
 06:00   00 52.7N 050 52.9E  00 26.0S 051 31.8E  00 13.4N 051 12.5E  0.956  48  59  162  04m40.9s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 06:01   01 04.6N 051 15.0E  00 14.1S 051 53.6E  00 25.3N 051 34.4E  0.956  49  59  162  04m41.8s
 06:02   01 16.2N 051 36.7E  00 02.3S 052 15.1E  00 37.0N 051 56.0E  0.956  49  59  161  04m42.7s
 06:03   01 27.6N 051 58.1E  00 09.2N 052 36.3E  00 48.5N 052 17.3E  0.956  50  59  161  04m43.6s
 06:04   01 38.9N 052 19.2E  00 20.6N 052 57.1E  00 59.8N 052 38.3E  0.956  50  59  160  04m44.5s
 06:05   01 50.0N 052 40.1E  00 31.7N 053 17.7E  01 11.0N 052 59.0E  0.956  51  59  160  04m45.4s
 06:06   02 00.9N 053 00.6E  00 42.7N 053 38.0E  01 21.9N 053 19.4E  0.956  52  58  160  04m46.3s
 06:07   02 11.6N 053 20.9E  00 53.5N 053 58.1E  01 32.7N 053 39.6E  0.956  52  58  159  04m47.1s
 06:08   02 22.2N 053 41.0E  01 04.2N 054 17.9E  01 43.3N 053 59.5E  0.956  53  58  159  04m48.0s
 06:09   02 32.6N 054 00.8E  01 14.6N 054 37.4E  01 53.7N 054 19.2E  0.956  53  58  159  04m48.9s
 06:10   02 42.8N 054 20.4E  01 24.9N 054 56.7E  02 04.0N 054 38.7E  0.957  54  58  158  04m49.7s

 06:11   02 52.9N 054 39.7E  01 35.1N 055 15.8E  02 14.1N 054 57.9E  0.957  54  57  158  04m50.6s
 06:12   03 02.9N 054 58.9E  01 45.0N 055 34.7E  02 24.0N 055 16.9E  0.957  55  57  158  04m51.4s
 06:13   03 12.6N 055 17.8E  01 54.9N 055 53.4E  02 33.8N 055 35.7E  0.957  56  57  158  04m52.3s
 06:14   03 22.3N 055 36.6E  02 04.5N 056 11.9E  02 43.5N 055 54.3E  0.957  56  57  157  04m53.1s
 06:15   03 31.8N 055 55.1E  02 14.1N 056 30.2E  02 53.0N 056 12.7E  0.957  57  57  157  04m53.9s
 06:16   03 41.1N 056 13.5E  02 23.4N 056 48.3E  03 02.4N 056 31.0E  0.957  57  56  157  04m54.8s
 06:17   03 50.3N 056 31.7E  02 32.7N 057 06.2E  03 11.6N 056 49.0E  0.957  58  56  157  04m55.6s
 06:18   03 59.4N 056 49.7E  02 41.8N 057 24.0E  03 20.7N 057 06.9E  0.957  58  56  156  04m56.4s
 06:19   04 08.3N 057 07.6E  02 50.7N 057 41.6E  03 29.6N 057 24.7E  0.957  59  55  156  04m57.2s
 06:20   04 17.2N 057 25.3E  02 59.6N 057 59.0E  03 38.4N 057 42.3E  0.957  59  55  156  04m58.0s

 06:21   04 25.8N 057 42.9E  03 08.2N 058 16.3E  03 47.1N 057 59.7E  0.957  60  55  156  04m58.7s
 06:22   04 34.4N 058 00.3E  03 16.8N 058 33.5E  03 55.7N 058 17.0E  0.957  60  55  155  04m59.5s
 06:23   04 42.8N 058 17.6E  03 25.2N 058 50.5E  04 04.1N 058 34.1E  0.958  61  54  155  05m00.3s
 06:24   04 51.1N 058 34.7E  03 33.5N 059 07.4E  04 12.4N 058 51.1E  0.958  61  54  155  05m01.0s
 06:25   04 59.3N 058 51.7E  03 41.7N 059 24.1E  04 20.6N 059 08.0E  0.958  62  54  155  05m01.8s
 06:26   05 07.4N 059 08.6E  03 49.8N 059 40.8E  04 28.6N 059 24.8E  0.958  62  53  155  05m02.5s
 06:27   05 15.3N 059 25.4E  03 57.7N 059 57.3E  04 36.6N 059 41.4E  0.958  63  53  154  05m03.3s
 06:28   05 23.1N 059 42.1E  04 05.5N 060 13.7E  04 44.4N 059 58.0E  0.958  63  53  154  05m04.0s
 06:29   05 30.8N 059 58.7E  04 13.2N 060 30.0E  04 52.1N 060 14.4E  0.958  64  52  154  05m04.7s
 06:30   05 38.4N 060 15.1E  04 20.8N 060 46.2E  04 59.7N 060 30.7E  0.958  64  52  154  05m05.4s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 06:31   05 45.9N 060 31.5E  04 28.2N 061 02.3E  05 07.2N 060 46.9E  0.958  65  51  154  05m06.1s
 06:32   05 53.3N 060 47.8E  04 35.6N 061 18.2E  05 14.5N 061 03.1E  0.958  65  51  154  05m06.8s
 06:33   06 00.6N 061 03.9E  04 42.8N 061 34.1E  05 21.8N 061 19.1E  0.958  66  50  154  05m07.5s
 06:34   06 07.7N 061 20.0E  04 49.9N 061 49.9E  05 28.9N 061 35.0E  0.958  66  50  153  05m08.2s
 06:35   06 14.8N 061 36.0E  04 56.9N 062 05.7E  05 35.9N 061 50.9E  0.958  67  49  153  05m08.8s
 06:36   06 21.7N 061 51.9E  05 03.8N 062 21.3E  05 42.9N 062 06.7E  0.958  67  49  153  05m09.5s
 06:37   06 28.5N 062 07.8E  05 10.6N 062 36.8E  05 49.7N 062 22.4E  0.958  68  48  153  05m10.1s
 06:38   06 35.3N 062 23.5E  05 17.3N 062 52.3E  05 56.4N 062 38.0E  0.958  68  48  153  05m10.8s
 06:39   06 41.9N 062 39.2E  05 23.9N 063 07.7E  06 03.0N 062 53.5E  0.958  69  47  153  05m11.4s
 06:40   06 48.4N 062 54.8E  05 30.4N 063 23.1E  06 09.5N 063 09.0E  0.958  69  46  153  05m12.0s

 06:41   06 54.8N 063 10.4E  05 36.8N 063 38.3E  06 15.9N 063 24.4E  0.958  70  46  153  05m12.6s
 06:42   07 01.2N 063 25.9E  05 43.0N 063 53.6E  06 22.2N 063 39.8E  0.958  70  45  153  05m13.2s
 06:43   07 07.4N 063 41.3E  05 49.2N 064 08.7E  06 28.4N 063 55.1E  0.958  70  44  153  05m13.8s
 06:44   07 13.5N 063 56.7E  05 55.3N 064 23.8E  06 34.5N 064 10.3E  0.958  71  44  152  05m14.4s
 06:45   07 19.5N 064 12.1E  06 01.2N 064 38.8E  06 40.5N 064 25.5E  0.959  71  43  152  05m14.9s
 06:46   07 25.4N 064 27.3E  06 07.1N 064 53.8E  06 46.4N 064 40.6E  0.959  72  42  152  05m15.5s
 06:47   07 31.3N 064 42.6E  06 12.8N 065 08.8E  06 52.1N 064 55.7E  0.959  72  41  152  05m16.0s
 06:48   07 37.0N 064 57.8E  06 18.5N 065 23.7E  06 57.8N 065 10.8E  0.959  72  40  152  05m16.5s
 06:49   07 42.6N 065 12.9E  06 24.1N 065 38.5E  07 03.4N 065 25.8E  0.959  73  39  152  05m17.0s
 06:50   07 48.2N 065 28.0E  06 29.6N 065 53.3E  07 09.0N 065 40.7E  0.959  73  38  152  05m17.5s

 06:51   07 53.6N 065 43.1E  06 34.9N 066 08.1E  07 14.4N 065 55.6E  0.959  74  37  152  05m18.0s
 06:52   07 59.0N 065 58.1E  06 40.2N 066 22.8E  07 19.7N 066 10.5E  0.959  74  36  152  05m18.5s
 06:53   08 04.2N 066 13.1E  06 45.4N 066 37.5E  07 24.9N 066 25.4E  0.959  74  35  152  05m19.0s
 06:54   08 09.4N 066 28.1E  06 50.5N 066 52.2E  07 30.0N 066 40.2E  0.959  75  34  152  05m19.4s
 06:55   08 14.4N 066 43.0E  06 55.5N 067 06.8E  07 35.0N 066 55.0E  0.959  75  32  152  05m19.8s
 06:56   08 19.4N 066 58.0E  07 00.4N 067 21.4E  07 40.0N 067 09.7E  0.959  75  31  152  05m20.3s
 06:57   08 24.3N 067 12.9E  07 05.2N 067 36.0E  07 44.8N 067 24.5E  0.959  76  30  152  05m20.7s
 06:58   08 29.1N 067 27.7E  07 09.9N 067 50.6E  07 49.6N 067 39.2E  0.959  76  28  152  05m21.1s
 06:59   08 33.8N 067 42.6E  07 14.5N 068 05.1E  07 54.2N 067 53.9E  0.959  76  27  152  05m21.4s
 07:00   08 38.4N 067 57.4E  07 19.0N 068 19.6E  07 58.8N 068 08.6E  0.959  77  25  152  05m21.8s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 07:01   08 42.9N 068 12.3E  07 23.4N 068 34.1E  08 03.3N 068 23.2E  0.959  77  23  152  05m22.2s
 07:02   08 47.3N 068 27.1E  07 27.8N 068 48.6E  08 07.6N 068 37.9E  0.959  77  21  152  05m22.5s
 07:03   08 51.7N 068 41.9E  07 32.0N 069 03.1E  08 11.9N 068 52.5E  0.959  77  20  152  05m22.8s
 07:04   08 55.9N 068 56.7E  07 36.2N 069 17.6E  08 16.1N 069 07.2E  0.959  77  18  152  05m23.1s
 07:05   09 00.1N 069 11.5E  07 40.2N 069 32.1E  08 20.2N 069 21.8E  0.959  78  16  152  05m23.4s
 07:06   09 04.1N 069 26.2E  07 44.2N 069 46.5E  08 24.3N 069 36.4E  0.959  78  14  152  05m23.7s
 07:07   09 08.1N 069 41.0E  07 48.1N 070 01.0E  08 28.2N 069 51.0E  0.959  78  12  152  05m24.0s
 07:08   09 12.0N 069 55.8E  07 51.9N 070 15.4E  08 32.0N 070 05.7E  0.959  78   9  152  05m24.2s
 07:09   09 15.8N 070 10.6E  07 55.6N 070 29.9E  08 35.8N 070 20.3E  0.959  78   7  152  05m24.5s
 07:10   09 19.5N 070 25.4E  07 59.2N 070 44.3E  08 39.4N 070 34.9E  0.959  78   5  152  05m24.7s

 07:11   09 23.1N 070 40.2E  08 02.7N 070 58.8E  08 43.0N 070 49.5E  0.959  79   3  152  05m24.9s
 07:12   09 26.6N 070 55.0E  08 06.1N 071 13.2E  08 46.5N 071 04.1E  0.959  79   0  152  05m25.1s
 07:13   09 30.0N 071 09.8E  08 09.5N 071 27.7E  08 49.8N 071 18.8E  0.959  79 358  152  05m25.3s
 07:14   09 33.4N 071 24.6E  08 12.7N 071 42.2E  08 53.1N 071 33.4E  0.959  79 356  152  05m25.4s
 07:15   09 36.6N 071 39.4E  08 15.9N 071 56.7E  08 56.3N 071 48.1E  0.959  79 353  152  05m25.6s
 07:16   09 39.8N 071 54.3E  08 18.9N 072 11.2E  08 59.4N 072 02.8E  0.959  79 351  152  05m25.7s
 07:17   09 42.8N 072 09.1E  08 21.9N 072 25.7E  09 02.5N 072 17.5E  0.959  79 349  152  05m25.8s
 07:18   09 45.8N 072 24.0E  08 24.8N 072 40.3E  09 05.4N 072 32.2E  0.959  79 346  152  05m25.9s
 07:19   09 48.7N 072 38.9E  08 27.6N 072 54.8E  09 08.2N 072 46.9E  0.959  79 344  152  05m26.0s
 07:20   09 51.5N 072 53.9E  08 30.3N 073 09.4E  09 11.0N 073 01.7E  0.959  78 342  152  05m26.0s

 07:21   09 54.2N 073 08.8E  08 32.9N 073 24.0E  09 13.6N 073 16.4E  0.959  78 339  153  05m26.1s
 07:22   09 56.8N 073 23.8E  08 35.4N 073 38.6E  09 16.2N 073 31.3E  0.959  78 337  153  05m26.1s
 07:23   09 59.4N 073 38.8E  08 37.8N 073 53.3E  09 18.7N 073 46.1E  0.959  78 335  153  05m26.1s
 07:24   10 01.8N 073 53.9E  08 40.2N 074 08.0E  09 21.1N 074 00.9E  0.959  78 333  153  05m26.1s
 07:25   10 04.2N 074 08.9E  08 42.4N 074 22.7E  09 23.4N 074 15.8E  0.959  78 331  153  05m26.1s
 07:26   10 06.4N 074 24.0E  08 44.5N 074 37.5E  09 25.6N 074 30.8E  0.959  77 329  153  05m26.0s
 07:27   10 08.6N 074 39.2E  08 46.6N 074 52.2E  09 27.7N 074 45.7E  0.959  77 327  153  05m26.0s
 07:28   10 10.6N 074 54.4E  08 48.6N 075 07.1E  09 29.7N 075 00.7E  0.959  77 325  153  05m25.9s
 07:29   10 12.6N 075 09.6E  08 50.4N 075 21.9E  09 31.6N 075 15.8E  0.959  77 324  153  05m25.8s
 07:30   10 14.5N 075 24.9E  08 52.2N 075 36.8E  09 33.5N 075 30.9E  0.959  76 322  153  05m25.7s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 07:31   10 16.3N 075 40.2E  08 53.9N 075 51.8E  09 35.2N 075 46.0E  0.959  76 321  153  05m25.6s
 07:32   10 18.0N 075 55.5E  08 55.5N 076 06.8E  09 36.8N 076 01.2E  0.959  76 319  153  05m25.5s
 07:33   10 19.6N 076 10.9E  08 57.0N 076 21.8E  09 38.4N 076 16.4E  0.959  75 318  154  05m25.3s
 07:34   10 21.1N 076 26.4E  08 58.4N 076 36.9E  09 39.9N 076 31.7E  0.959  75 316  154  05m25.1s
 07:35   10 22.5N 076 41.9E  08 59.7N 076 52.0E  09 41.2N 076 47.0E  0.959  75 315  154  05m24.9s
 07:36   10 23.8N 076 57.5E  09 00.9N 077 07.2E  09 42.5N 077 02.4E  0.959  74 314  154  05m24.7s
 07:37   10 25.1N 077 13.1E  09 02.1N 077 22.5E  09 43.7N 077 17.8E  0.959  74 313  154  05m24.5s
 07:38   10 26.2N 077 28.8E  09 03.1N 077 37.8E  09 44.7N 077 33.3E  0.959  74 311  154  05m24.3s
 07:39   10 27.2N 077 44.5E  09 04.0N 077 53.2E  09 45.7N 077 48.9E  0.958  73 310  154  05m24.0s
 07:40   10 28.2N 078 00.4E  09 04.8N 078 08.6E  09 46.6N 078 04.5E  0.958  73 309  154  05m23.7s

 07:41   10 29.0N 078 16.2E  09 05.6N 078 24.1E  09 47.4N 078 20.2E  0.958  73 308  154  05m23.5s
 07:42   10 29.7N 078 32.2E  09 06.2N 078 39.7E  09 48.1N 078 35.9E  0.958  72 307  154  05m23.1s
 07:43   10 30.4N 078 48.2E  09 06.7N 078 55.3E  09 48.6N 078 51.8E  0.958  72 307  155  05m22.8s
 07:44   10 30.9N 079 04.3E  09 07.1N 079 11.0E  09 49.1N 079 07.7E  0.958  71 306  155  05m22.5s
 07:45   10 31.4N 079 20.5E  09 07.5N 079 26.8E  09 49.5N 079 23.6E  0.958  71 305  155  05m22.1s
 07:46   10 31.7N 079 36.7E  09 07.7N 079 42.7E  09 49.8N 079 39.7E  0.958  71 304  155  05m21.8s
 07:47   10 31.9N 079 53.1E  09 07.8N 079 58.6E  09 50.0N 079 55.8E  0.958  70 303  155  05m21.4s
 07:48   10 32.1N 080 09.5E  09 07.9N 080 14.7E  09 50.0N 080 12.1E  0.958  70 303  155  05m21.0s
 07:49   10 32.1N 080 26.0E  09 07.8N 080 30.8E  09 50.0N 080 28.4E  0.958  69 302  155  05m20.5s
 07:50   10 32.0N 080 42.6E  09 07.6N 080 47.0E  09 49.9N 080 44.8E  0.958  69 302  156  05m20.1s

 07:51   10 31.8N 080 59.3E  09 07.3N 081 03.3E  09 49.7N 081 01.3E  0.958  68 301  156  05m19.7s
 07:52   10 31.5N 081 16.0E  09 06.9N 081 19.7E  09 49.3N 081 17.9E  0.958  68 300  156  05m19.2s
 07:53   10 31.1N 081 32.9E  09 06.4N 081 36.2E  09 48.9N 081 34.5E  0.958  68 300  156  05m18.7s
 07:54   10 30.6N 081 49.9E  09 05.8N 081 52.8E  09 48.3N 081 51.3E  0.958  67 299  156  05m18.2s
 07:55   10 30.0N 082 07.0E  09 05.0N 082 09.5E  09 47.6N 082 08.2E  0.958  67 299  156  05m17.7s
 07:56   10 29.3N 082 24.2E  09 04.2N 082 26.3E  09 46.8N 082 25.2E  0.958  66 298  157  05m17.2s
 07:57   10 28.5N 082 41.5E  09 03.3N 082 43.2E  09 45.9N 082 42.3E  0.958  66 298  157  05m16.6s
 07:58   10 27.5N 082 59.0E  09 02.2N 083 00.2E  09 44.9N 082 59.6E  0.958  65 298  157  05m16.1s
 07:59   10 26.4N 083 16.5E  09 01.0N 083 17.4E  09 43.8N 083 16.9E  0.958  65 297  157  05m15.5s
 08:00   10 25.3N 083 34.2E  08 59.7N 083 34.6E  09 42.6N 083 34.4E  0.958  64 297  157  05m14.9s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 08:01   10 24.0N 083 52.0E  08 58.3N 083 52.0E  09 41.2N 083 52.0E  0.957  64 296  157  05m14.3s
 08:02   10 22.6N 084 09.9E  08 56.8N 084 09.6E  09 39.8N 084 09.7E  0.957  63 296  158  05m13.7s
 08:03   10 21.0N 084 28.0E  08 55.1N 084 27.2E  09 38.2N 084 27.6E  0.957  63 296  158  05m13.1s
 08:04   10 19.4N 084 46.2E  08 53.4N 084 45.0E  09 36.4N 084 45.6E  0.957  62 295  158  05m12.4s
 08:05   10 17.6N 085 04.6E  08 51.5N 085 03.0E  09 34.6N 085 03.7E  0.957  62 295  158  05m11.8s
 08:06   10 15.7N 085 23.1E  08 49.4N 085 21.1E  09 32.6N 085 22.0E  0.957  61 295  158  05m11.1s
 08:07   10 13.6N 085 41.7E  08 47.3N 085 39.3E  09 30.6N 085 40.5E  0.957  61 295  159  05m10.4s
 08:08   10 11.5N 086 00.5E  08 45.0N 085 57.7E  09 28.3N 085 59.1E  0.957  60 294  159  05m09.7s
 08:09   10 09.2N 086 19.5E  08 42.6N 086 16.3E  09 26.0N 086 17.9E  0.957  60 294  159  05m09.0s
 08:10   10 06.8N 086 38.7E  08 40.0N 086 35.0E  09 23.5N 086 36.8E  0.957  59 294  159  05m08.3s

 08:11   10 04.2N 086 58.0E  08 37.4N 086 53.9E  09 20.9N 086 55.9E  0.957  59 294  160  05m07.6s
 08:12   10 01.5N 087 17.5E  08 34.5N 087 13.0E  09 18.1N 087 15.2E  0.957  58 293  160  05m06.8s
 08:13   09 58.7N 087 37.2E  08 31.6N 087 32.3E  09 15.2N 087 34.7E  0.957  58 293  160  05m06.0s
 08:14   09 55.7N 087 57.1E  08 28.5N 087 51.7E  09 12.2N 087 54.3E  0.957  57 293  160  05m05.3s
 08:15   09 52.6N 088 17.1E  08 25.2N 088 11.4E  09 09.0N 088 14.2E  0.956  56 293  161  05m04.5s
 08:16   09 49.3N 088 37.4E  08 21.8N 088 31.3E  09 05.7N 088 34.3E  0.956  56 293  161  05m03.7s
 08:17   09 45.9N 088 57.9E  08 18.3N 088 51.4E  09 02.2N 088 54.6E  0.956  55 293  161  05m02.9s
 08:18   09 42.3N 089 18.6E  08 14.6N 089 11.7E  08 58.6N 089 15.1E  0.956  55 292  161  05m02.0s
 08:19   09 38.6N 089 39.6E  08 10.7N 089 32.2E  08 54.8N 089 35.8E  0.956  54 292  162  05m01.2s
 08:20   09 34.7N 090 00.8E  08 06.7N 089 53.0E  08 50.8N 089 56.8E  0.956  54 292  162  05m00.3s

 08:21   09 30.7N 090 22.2E  08 02.5N 090 14.0E  08 46.7N 090 18.0E  0.956  53 292  162  04m59.5s
 08:22   09 26.5N 090 43.9E  07 58.2N 090 35.2E  08 42.4N 090 39.5E  0.956  52 292  163  04m58.6s
 08:23   09 22.1N 091 05.9E  07 53.7N 090 56.8E  08 38.0N 091 01.2E  0.956  52 292  163  04m57.7s
 08:24   09 17.6N 091 28.1E  07 49.0N 091 18.6E  08 33.4N 091 23.2E  0.956  51 292  163  04m56.8s
 08:25   09 12.8N 091 50.6E  07 44.1N 091 40.6E  08 28.5N 091 45.5E  0.955  51 292  164  04m55.9s
 08:26   09 07.9N 092 13.4E  07 39.0N 092 03.0E  08 23.6N 092 08.1E  0.955  50 292  164  04m55.0s
 08:27   09 02.8N 092 36.6E  07 33.8N 092 25.7E  08 18.4N 092 31.0E  0.955  49 291  164  04m54.1s
 08:28   08 57.5N 093 00.0E  07 28.3N 092 48.7E  08 13.0N 092 54.3E  0.955  49 291  165  04m53.1s
 08:29   08 52.0N 093 23.8E  07 22.7N 093 12.1E  08 07.4N 093 17.8E  0.955  48 291  165  04m52.2s
 08:30   08 46.3N 093 47.9E  07 16.8N 093 35.8E  08 01.7N 093 41.7E  0.955  48 291  166  04m51.2s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 08:31   08 40.4N 094 12.4E  07 10.7N 093 59.8E  07 55.7N 094 06.0E  0.955  47 291  166  04m50.2s
 08:32   08 34.3N 094 37.3E  07 04.5N 094 24.3E  07 49.5N 094 30.7E  0.955  46 291  166  04m49.3s
 08:33   08 28.0N 095 02.6E  06 58.0N 094 49.1E  07 43.1N 094 55.7E  0.955  46 291  167  04m48.3s
 08:34   08 21.4N 095 28.3E  06 51.2N 095 14.4E  07 36.4N 095 21.2E  0.954  45 291  167  04m47.3s
 08:35   08 14.6N 095 54.4E  06 44.2N 095 40.0E  07 29.5N 095 47.1E  0.954  44 291  168  04m46.2s
 08:36   08 07.6N 096 21.0E  06 37.0N 096 06.2E  07 22.4N 096 13.4E  0.954  44 291  168  04m45.2s
 08:37   08 00.3N 096 48.1E  06 29.5N 096 32.8E  07 15.0N 096 40.3E  0.954  43 291  169  04m44.2s
 08:38   07 52.7N 097 15.7E  06 21.7N 097 00.0E  07 07.3N 097 07.6E  0.954  42 291  169  04m43.1s
 08:39   07 44.8N 097 43.8E  06 13.7N 097 27.6E  06 59.4N 097 35.5E  0.954  42 291  170  04m42.0s
 08:40   07 36.7N 098 12.5E  06 05.3N 097 55.9E  06 51.1N 098 04.0E  0.954  41 291  170  04m41.0s

 08:41   07 28.3N 098 41.7E  05 56.7N 098 24.7E  06 42.6N 098 33.0E  0.953  40 291  171  04m39.9s
 08:42   07 19.5N 099 11.6E  05 47.7N 098 54.1E  06 33.7N 099 02.7E  0.953  39 291  171  04m38.8s
 08:43   07 10.4N 099 42.2E  05 38.4N 099 24.3E  06 24.5N 099 33.0E  0.953  39 291  172  04m37.6s
 08:44   07 01.0N 100 13.5E  05 28.8N 099 55.1E  06 15.0N 100 04.1E  0.953  38 291  173  04m36.5s
 08:45   06 51.2N 100 45.6E  05 18.7N 100 26.7E  06 05.1N 100 35.9E  0.953  37 291  173  04m35.4s
 08:46   06 41.1N 101 18.4E  05 08.3N 100 59.1E  05 54.8N 101 08.5E  0.953  36 291  174  04m34.2s
 08:47   06 30.5N 101 52.1E  04 57.5N 101 32.3E  05 44.1N 101 42.0E  0.952  35 291  174  04m33.0s
 08:48   06 19.5N 102 26.8E  04 46.2N 102 06.5E  05 33.0N 102 16.4E  0.952  35 291  175  04m31.9s
 08:49   06 08.1N 103 02.4E  04 34.5N 102 41.7E  05 21.4N 102 51.8E  0.952  34 291  176  04m30.7s
 08:50   05 56.1N 103 39.2E  04 22.3N 103 18.0E  05 09.3N 103 28.3E  0.952  33 291  176  04m29.4s

 08:51   05 43.7N 104 17.1E  04 09.5N 103 55.4E  04 56.7N 104 05.9E  0.952  32 291  177  04m28.2s
 08:52   05 30.6N 104 56.2E  03 56.2N 104 34.1E  04 43.6N 104 44.9E  0.951  31 291  178  04m26.9s
 08:53   05 17.0N 105 36.8E  03 42.2N 105 14.2E  04 29.8N 105 25.2E  0.951  30 291  179  04m25.6s
 08:54   05 02.7N 106 18.9E  03 27.6N 105 55.8E  04 15.3N 106 07.0E  0.951  29 291  180  04m24.3s
 08:55   04 47.7N 107 02.7E  03 12.2N 106 39.1E  04 00.1N 106 50.5E  0.951  28 291  181  04m23.0s
 08:56   04 31.9N 107 48.3E  02 56.0N 107 24.3E  03 44.1N 107 35.9E  0.951  27 291  181  04m21.7s
 08:57   04 15.2N 108 36.1E  02 38.9N 108 11.6E  03 27.3N 108 23.5E  0.950  26 291  182  04m20.3s
 08:58   03 57.6N 109 26.3E  02 20.8N 109 01.3E  03 09.4N 109 13.3E  0.950  25 291  183  04m18.8s
 08:59   03 38.8N 110 19.1E  02 01.5N 109 53.8E  02 50.4N 110 06.0E  0.950  24 291  185  04m17.4s
 09:00   03 18.7N 111 15.2E  01 41.0N 110 49.4E  02 30.1N 111 01.8E  0.949  23 291  186  04m15.9s

  
                                                                      M:S                 Central
Universal  Northern Limit      Southern Limit       Central Line     Diam.  Sun Sun Path   Line
         ------------------  ------------------  ------------------  Ratio  Alt Azm Width Durat.
  Time   Latitude Longitude  Latitude Longitude  Latitude Longitude
          °   ´     °   ´      °   ´     °   ´      °   ´     °   ´            °   °   km
  
 09:01   02 57.2N 112 14.9E  01 18.9N 111 48.7E  02 08.3N 112 01.2E  0.949  21 291  187  04m14.3s
 09:02   02 33.9N 113 19.1E  00 54.9N 112 52.5E  01 44.7N 113 05.2E  0.949  20 291  188  04m12.7s
 09:03   02 08.5N 114 28.6E  00 28.8N 114 01.8E  01 19.0N 114 14.5E  0.948  18 291  190  04m11.0s
 09:04   01 40.5N 115 45.1E  00 00.1S 115 18.0E  00 50.5N 115 30.8E  0.948  17 291  191  04m09.2s
 09:05   01 09.0N 117 10.5E  00 32.6S 116 43.4E  00 18.6N 116 56.0E  0.948  15 291  193  04m07.2s
 09:06   00 32.7N 118 48.5E  01 10.1S 118 21.7E  00 18.2S 118 34.0E  0.947  13 291  195  04m05.1s
 09:07   00 10.9S 120 46.1E  01 55.4S 120 20.3E  01 02.6S 120 31.8E  0.946  11 291  197  04m02.7s
 09:08   01 08.0S 123 20.0E  02 55.6S 122 57.5E  02 01.0S 123 06.6E  0.946   8 291  200  03m59.8s
 09:09   02 53.3S 128 04.7E  05 01.2S 128 28.0E  03 52.4S 128 03.8E  0.944   2 290  206  03m54.7s

 Limits  03 46.1S 130 28.8E  05 32.3S 129 50.8E  04 39.1S 130 09.7E  0.944   0   -  208  03m52.8s

ΔT = 78.5 seconds


Annular Solar Eclipse of 2031 May 21


Solar Eclipse Links


Acknowledgments

Predictions for the Annular Solar Eclipse of 2031 May 21 were generated using the VSOP87/ELP2000-82 solar and lunar ephemerides and a value of ΔT = 78.5 seconds. The accuracy of the northern and southern edges of the eclipse path are limited to approximately 1-2 kilometers due to the lunar limb profile.

All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy. Permission is freely granted to reproduce this data when accompanied by an acknowledgment:

"Eclipse Predictions by Fred Espenak, NASA's GSFC"

For more information, see: NASA Copyright Information

2007 Oct 16